What is the Least Common Multiple of 58854 and 58874?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 58854 and 58874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58854 and 58874, than apply into the LCM equation.

GCF(58854,58874) = 2
LCM(58854,58874) = ( 58854 × 58874) / 2
LCM(58854,58874) = 3464970396 / 2
LCM(58854,58874) = 1732485198

Least Common Multiple (LCM) of 58854 and 58874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58854 and 58874. First we will calculate the prime factors of 58854 and 58874.

Prime Factorization of 58854

Prime Factorization of 58874

Now multiplying the highest exponent prime factors to calculate the LCM of 58854 and 58874.

LCM(58854,58874) = 2¹ × 3¹ × 17¹ × 577¹ × 29437¹
LCM(58854,58874) = 1732485198